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Finding the Third Proportional to 75,387,967 and 164,125,260

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Solution

The third proportional to 75,387,967 and 164,125,260 is: 357,313,004.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,387,967 : 164,125,260 = 164,125,260 : x
  2. Step 2: Convert to fraction form
    75,387,967/164,125,260 = 164,125,260/x
  3. Step 3: Cross multiply
    75,387,967x = 164,125,260 × 164,125,260
  4. Step 4: Simplify right side
    75,387,967x = 26,937,100,970,067,600
  5. Step 5: Solve for x
    x = 26,937,100,970,067,600/75,387,967
  6. Step 6: Final answer
    x = 357,313,004.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.